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Finding the Third Proportional to 41,344 and 89,690

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Solution

The third proportional to 41,344 and 89,690 is: 194,569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,344 : 89,690 = 89,690 : x
  2. Step 2: Convert to fraction form
    41,344/89,690 = 89,690/x
  3. Step 3: Cross multiply
    41,344x = 89,690 × 89,690
  4. Step 4: Simplify right side
    41,344x = 8,044,296,100
  5. Step 5: Solve for x
    x = 8,044,296,100/41,344
  6. Step 6: Final answer
    x = 194,569.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.